Research PaperNo Access

Some Mellin transforms for the Riemann zeta function in the critical strip

Alexander E Patkowski

1390 Bumps River Rd. Centerville, MA 02632, USA

https://doi.org/10.1142/S1793042119500039Cited by:0 (Source: Crossref)

Abstract

We offer two new Mellin transform evaluations for the Riemann zeta function in the region $0 < ℜ (s) < 1$ . Some discussion is offered in the way of evaluating some further Fourier integrals involving the Riemann xi function.

Keywords:

AMSC: 11M06, 33C15

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